sdss.processed.analysis

Dataset statistics

Number of variables	10
Number of observations	2722028
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	207.7 MiB
Average record size in memory	80.0 B

Variable types

Numeric	10

Alerts

`u` is highly correlated with `g` and 8 other fields	High correlation
`g` is highly correlated with `u` and 8 other fields	High correlation
`r` is highly correlated with `u` and 8 other fields	High correlation
`i` is highly correlated with `u` and 8 other fields	High correlation
`z` is highly correlated with `u` and 8 other fields	High correlation
`uErr` is highly correlated with `u` and 8 other fields	High correlation
`gErr` is highly correlated with `u` and 8 other fields	High correlation
`rErr` is highly correlated with `u` and 8 other fields	High correlation
`iErr` is highly correlated with `u` and 8 other fields	High correlation
`zErr` is highly correlated with `u` and 8 other fields	High correlation
`u` is highly correlated with `g` and 8 other fields	High correlation
`g` is highly correlated with `u` and 8 other fields	High correlation
`r` is highly correlated with `u` and 8 other fields	High correlation
`i` is highly correlated with `u` and 8 other fields	High correlation
`z` is highly correlated with `u` and 8 other fields	High correlation
`uErr` is highly correlated with `u` and 8 other fields	High correlation
`gErr` is highly correlated with `u` and 8 other fields	High correlation
`rErr` is highly correlated with `u` and 8 other fields	High correlation
`iErr` is highly correlated with `u` and 8 other fields	High correlation
`zErr` is highly correlated with `u` and 8 other fields	High correlation
`u` is highly correlated with `g` and 4 other fields	High correlation
`g` is highly correlated with `u` and 8 other fields	High correlation
`r` is highly correlated with `u` and 7 other fields	High correlation
`i` is highly correlated with `g` and 6 other fields	High correlation
`z` is highly correlated with `g` and 6 other fields	High correlation
`uErr` is highly correlated with `u` and 2 other fields	High correlation
`gErr` is highly correlated with `u` and 8 other fields	High correlation
`rErr` is highly correlated with `u` and 7 other fields	High correlation
`iErr` is highly correlated with `g` and 6 other fields	High correlation
`zErr` is highly correlated with `g` and 6 other fields	High correlation
`u` is highly correlated with `g` and 8 other fields	High correlation
`g` is highly correlated with `u` and 8 other fields	High correlation
`r` is highly correlated with `u` and 8 other fields	High correlation
`i` is highly correlated with `u` and 8 other fields	High correlation
`z` is highly correlated with `u` and 8 other fields	High correlation
`uErr` is highly correlated with `u` and 8 other fields	High correlation
`gErr` is highly correlated with `u` and 8 other fields	High correlation
`rErr` is highly correlated with `u` and 8 other fields	High correlation
`iErr` is highly correlated with `u` and 8 other fields	High correlation
`zErr` is highly correlated with `u` and 8 other fields	High correlation

Reproduction

Analysis started	2022-02-27 19:55:04.700281
Analysis finished	2022-02-27 19:58:01.953629
Duration	2 minutes and 57.25 seconds
Software version	pandas-profiling v3.1.1
Download configuration	config.json

u
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	855059
Distinct (%)	31.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.486448029

Minimum	3.390798359
Maximum	5.06395242
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	3.390798359
5-th percentile	4.229034386
Q1	4.367990055
median	4.510600884
Q3	4.595010216
95-th percentile	4.703141131
Maximum	5.06395242
Range	1.673154062
Interquartile range (IQR)	0.2270201612

Descriptive statistics

Standard deviation	0.1484141654
Coefficient of variation (CV)	0.03308054935
Kurtosis	-0.5437861103
Mean	4.486448029
Median Absolute Deviation (MAD)	0.1026362228
Skewness	-0.4255624828
Sum	12212237.15
Variance	0.0220267645
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.622617655	362	< 0.1%
4.622618241	313	< 0.1%
4.622617069	254	< 0.1%
4.622618826	222	< 0.1%
4.622619412	101	< 0.1%
4.622619998	73	< 0.1%
4.622616484	70	< 0.1%
4.622620583	32	< 0.1%
4.622615898	24	< 0.1%
4.622621169	21	< 0.1%
Other values (855049)	2720556	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.390798359	1	< 0.1%
3.562678373	1	< 0.1%
3.700303211	1	< 0.1%
3.704106159	1	< 0.1%
3.780483338	1	< 0.1%
3.791529671	1	< 0.1%
3.830468305	1	< 0.1%
3.836884541	1	< 0.1%
3.845935587	1	< 0.1%
3.846507357	1	< 0.1%

Value	Count	Frequency (%)
5.06395242	1	< 0.1%
5.029745724	1	< 0.1%
4.952333566	1	< 0.1%
4.945487848	1	< 0.1%
4.943917108	1	< 0.1%
4.943620382	1	< 0.1%
4.94300658	1	< 0.1%
4.942397677	1	< 0.1%
4.938646185	1	< 0.1%
4.935450318	1	< 0.1%

g
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	756885
Distinct (%)	27.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.372520689

Minimum	3.426885986
Maximum	5.040429572
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	3.426885986
5-th percentile	4.10858831
Q1	4.230409779
median	4.427266912
Q3	4.485033897
95-th percentile	4.553761674
Maximum	5.040429572
Range	1.613543586
Interquartile range (IQR)	0.2546241182

Descriptive statistics

Standard deviation	0.14998635
Coefficient of variation (CV)	0.03430203323
Kurtosis	-0.5723558053
Mean	4.372520689
Median Absolute Deviation (MAD)	0.08125174785
Skewness	-0.6558970419
Sum	11902123.75
Variance	0.02249590518
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.650441754	104	< 0.1%
4.65044118	64	< 0.1%
4.650442329	54	< 0.1%
4.650442903	45	< 0.1%
4.476180759	25	< 0.1%
4.469219813	24	< 0.1%
4.461772131	24	< 0.1%
4.47448212	23	< 0.1%
4.467998692	23	< 0.1%
4.466948771	23	< 0.1%
Other values (756875)	2721619	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.426885986	1	< 0.1%
3.748952782	1	< 0.1%
3.762818652	1	< 0.1%
3.782573165	1	< 0.1%
3.792008848	1	< 0.1%
3.794965805	1	< 0.1%
3.80954924	1	< 0.1%
3.812980754	1	< 0.1%
3.815122466	1	< 0.1%
3.826034873	1	< 0.1%

Value	Count	Frequency (%)
5.040429572	1	< 0.1%
4.985061362	1	< 0.1%
4.981954917	1	< 0.1%
4.9783398	1	< 0.1%
4.970585424	1	< 0.1%
4.969351292	1	< 0.1%
4.957272949	1	< 0.1%
4.952010601	1	< 0.1%
4.950840705	1	< 0.1%
4.950697958	1	< 0.1%

r
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	685409
Distinct (%)	25.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.278125623

Minimum	3.799572269
Maximum	4.52355882
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	3.799572269
5-th percentile	4.039523017
Q1	4.148581113
median	4.323320345
Q3	4.384934637
95-th percentile	4.459876163
Maximum	4.52355882
Range	0.7239865512
Interquartile range (IQR)	0.2363535237

Descriptive statistics

Standard deviation	0.1393037058
Coefficient of variation (CV)	0.03256185491
Kurtosis	-0.6393827726
Mean	4.278125623
Median Absolute Deviation (MAD)	0.09464232507
Skewness	-0.55434079
Sum	11645177.73
Variance	0.01940552245
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.361115631	23	< 0.1%
4.367131995	22	< 0.1%
4.342728956	22	< 0.1%
4.357851069	22	< 0.1%
4.365724727	22	< 0.1%
4.377443773	22	< 0.1%
4.354011301	22	< 0.1%
4.359354599	22	< 0.1%
4.353086116	22	< 0.1%
4.361864489	21	< 0.1%
Other values (685399)	2721808	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.799572269	1	< 0.1%
3.799580557	1	< 0.1%
3.799589882	1	< 0.1%
3.799607495	1	< 0.1%
3.799611639	1	< 0.1%
3.799617855	1	< 0.1%
3.799639612	1	< 0.1%
3.799656188	1	< 0.1%
3.79967898	1	< 0.1%
3.799690376	1	< 0.1%

Value	Count	Frequency (%)
4.52355882	1	< 0.1%
4.523557565	1	< 0.1%
4.523555683	1	< 0.1%
4.523543765	1	< 0.1%
4.523540002	1	< 0.1%
4.523536238	1	< 0.1%
4.523526829	1	< 0.1%
4.523524947	1	< 0.1%
4.523523065	1	< 0.1%
4.523506129	1	< 0.1%

i
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	675063
Distinct (%)	24.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.224445154

Minimum	3.064359504
Maximum	4.984258486
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	3.064359504
5-th percentile	4.002581916
Q1	4.112929445
median	4.258870887
Q3	4.312862812
95-th percentile	4.416755751
Maximum	4.984258486
Range	1.919898982
Interquartile range (IQR)	0.1999333672

Descriptive statistics

Standard deviation	0.1296779362
Coefficient of variation (CV)	0.03069703391
Kurtosis	-0.3174942897
Mean	4.224445154
Median Absolute Deviation (MAD)	0.08356154249
Skewness	-0.4564246975
Sum	11499057.99
Variance	0.01681636713
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.606548827	74	< 0.1%
4.606549419	46	< 0.1%
4.303728153	27	< 0.1%
4.297738011	26	< 0.1%
4.293725817	26	< 0.1%
4.287102856	26	< 0.1%
4.288963127	25	< 0.1%
4.290257033	25	< 0.1%
4.293114414	25	< 0.1%
4.299418316	25	< 0.1%
Other values (675053)	2721703	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.064359504	1	< 0.1%
3.499453038	1	< 0.1%
3.58165735	1	< 0.1%
3.645071004	1	< 0.1%
3.702845901	1	< 0.1%
3.712312936	1	< 0.1%
3.712330547	1	< 0.1%
3.714130097	1	< 0.1%
3.722232114	1	< 0.1%
3.736021402	1	< 0.1%

Value	Count	Frequency (%)
4.984258486	1	< 0.1%
4.964935961	1	< 0.1%
4.961151922	1	< 0.1%
4.957605881	1	< 0.1%
4.947025076	1	< 0.1%
4.946333643	1	< 0.1%
4.940685933	1	< 0.1%
4.937913542	1	< 0.1%
4.934338631	1	< 0.1%
4.930671587	1	< 0.1%

z
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	672835
Distinct (%)	24.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.193566506

Minimum	3.509876959
Maximum	4.907709814
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	3.509876959
5-th percentile	3.973647411
Q1	4.088367212
median	4.224172664
Q3	4.278830781
95-th percentile	4.397000633
Maximum	4.907709814
Range	1.397832855
Interquartile range (IQR)	0.1904635687

Descriptive statistics

Standard deviation	0.1290527713
Coefficient of variation (CV)	0.03077398942
Kurtosis	-0.0705562617
Mean	4.193566506
Median Absolute Deviation (MAD)	0.0771778234
Skewness	-0.3506220362
Sum	11415005.45
Variance	0.01665461778
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.512663043	563	< 0.1%
4.512663675	328	< 0.1%
4.512662411	167	< 0.1%
4.512664307	88	< 0.1%
4.512664939	41	< 0.1%
4.512665571	31	< 0.1%
4.261477409	29	< 0.1%
4.264323239	28	< 0.1%
4.267044329	28	< 0.1%
4.28134662	27	< 0.1%
Other values (672825)	2720698	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.509876959	1	< 0.1%
3.630235376	1	< 0.1%
3.638523378	1	< 0.1%
3.677512752	1	< 0.1%
3.678114734	1	< 0.1%
3.690061686	1	< 0.1%
3.691627959	1	< 0.1%
3.692139255	1	< 0.1%
3.693017413	1	< 0.1%
3.695809012	1	< 0.1%

Value	Count	Frequency (%)
4.907709814	1	< 0.1%
4.876946131	1	< 0.1%
4.871012677	1	< 0.1%
4.866615256	1	< 0.1%
4.859937256	1	< 0.1%
4.858945786	1	< 0.1%
4.856301517	1	< 0.1%
4.852765939	1	< 0.1%
4.851338783	1	< 0.1%
4.848929848	1	< 0.1%

uErr
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2389824
Distinct (%)	87.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-1.434831639

Minimum	-8.667876248
Maximum	5.539122821
Zeros	0
Zeros (%)	0.0%
Negative	2000773
Negative (%)	73.5%
Memory size	20.8 MiB

Quantile statistics

Minimum	-8.667876248
5-th percentile	-4.869372974
Q1	-3.018550919
median	-0.8567770501
Q3	0.047874769
95-th percentile	0.8304328913
Maximum	5.539122821
Range	14.20699907
Interquartile range (IQR)	3.066425688

Descriptive statistics

Standard deviation	1.877144742
Coefficient of variation (CV)	-1.308268295
Kurtosis	-0.6808896193
Mean	-1.434831639
Median Absolute Deviation (MAD)	1.133982021
Skewness	-0.6678040976
Sum	-3905651.897
Variance	3.523672381
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.09729121102	8	< 0.1%
0.2040092151	8	< 0.1%
0.1847868152	8	< 0.1%
0.05744888581	8	< 0.1%
0.2343995374	8	< 0.1%
0.02657770786	8	< 0.1%
0.2732055352	8	< 0.1%
0.1088067792	7	< 0.1%
0.1621223632	7	< 0.1%
0.4266157902	7	< 0.1%
Other values (2389814)	2721951	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-8.667876248	1	< 0.1%
-8.351582359	1	< 0.1%
-8.201625847	1	< 0.1%
-8.085729648	1	< 0.1%
-7.985187871	1	< 0.1%
-7.984592501	1	< 0.1%
-7.962527113	1	< 0.1%
-7.954996928	1	< 0.1%
-7.92885058	1	< 0.1%
-7.924510107	1	< 0.1%

Value	Count	Frequency (%)
5.539122821	1	< 0.1%
5.255574377	1	< 0.1%
5.204707289	1	< 0.1%
4.819027411	1	< 0.1%
4.774580983	1	< 0.1%
4.754942537	1	< 0.1%
4.656721738	1	< 0.1%
4.466841127	1	< 0.1%
4.432548581	1	< 0.1%
4.39599778	1	< 0.1%

gErr
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2357695
Distinct (%)	86.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-4.124869869

Minimum	-9.072003501
Maximum	5.362660295
Zeros	0
Zeros (%)	0.0%
Negative	2707650
Negative (%)	99.5%
Memory size	20.8 MiB

Quantile statistics

Minimum	-9.072003501
5-th percentile	-7.491407586
Q1	-6.275012705
median	-3.509779691
Q3	-2.568363563
95-th percentile	-1.260035018
Maximum	5.362660295
Range	14.4346638
Interquartile range (IQR)	3.706649142

Descriptive statistics

Standard deviation	2.071773355
Coefficient of variation (CV)	-0.502263931
Kurtosis	-1.026591297
Mean	-4.124869869
Median Absolute Deviation (MAD)	1.329614386
Skewness	-0.3212671191
Sum	-11228011.28
Variance	4.292244837
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-3.114672418	7	< 0.1%
-2.913994575	7	< 0.1%
-2.96368939	7	< 0.1%
-2.962793794	7	< 0.1%
-2.840472078	7	< 0.1%
-3.211698502	7	< 0.1%
-2.667114973	7	< 0.1%
-2.728339113	7	< 0.1%
-3.030398795	7	< 0.1%
-3.083157129	7	< 0.1%
Other values (2357685)	2721958	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-9.072003501	1	< 0.1%
-9.035906955	1	< 0.1%
-8.979858395	1	< 0.1%
-8.967981739	1	< 0.1%
-8.953887953	1	< 0.1%
-8.949457704	1	< 0.1%
-8.943674315	1	< 0.1%
-8.939130803	1	< 0.1%
-8.932213277	1	< 0.1%
-8.930604512	1	< 0.1%

Value	Count	Frequency (%)
5.362660295	1	< 0.1%
4.800982189	1	< 0.1%
4.655533299	1	< 0.1%
4.222343214	1	< 0.1%
4.071263268	1	< 0.1%
3.841107645	1	< 0.1%
3.762277583	1	< 0.1%
3.621895971	1	< 0.1%
3.572610801	1	< 0.1%
3.366920852	1	< 0.1%

rErr
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2464413
Distinct (%)	90.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-5.150489641

Minimum	-9.057644664
Maximum	-1.940751613
Zeros	0
Zeros (%)	0.0%
Negative	2722028
Negative (%)	100.0%
Memory size	20.8 MiB

Quantile statistics

Minimum	-9.057644664
5-th percentile	-7.837512069
Q1	-6.861997212
median	-4.764985311
Q3	-3.808233567
95-th percentile	-2.593715951
Maximum	-1.940751613
Range	7.11689305
Interquartile range (IQR)	3.053763645

Descriptive statistics

Standard deviation	1.721509196
Coefficient of variation (CV)	-0.3342418518
Kurtosis	-1.162499474
Mean	-5.150489641
Median Absolute Deviation (MAD)	1.371718401
Skewness	-0.1795792286
Sum	-14019777.02
Variance	2.96359391
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-3.277280783	6	< 0.1%
-3.279654984	6	< 0.1%
-3.308840359	6	< 0.1%
-3.297109162	6	< 0.1%
-3.278692794	6	< 0.1%
-3.204460444	6	< 0.1%
-2.889106552	6	< 0.1%
-4.412563265	6	< 0.1%
-2.967943179	6	< 0.1%
-2.662258313	6	< 0.1%
Other values (2464403)	2721968	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-9.057644664	1	< 0.1%
-9.055045484	1	< 0.1%
-9.052046582	1	< 0.1%
-9.048266982	1	< 0.1%
-9.046312239	1	< 0.1%
-9.046139104	1	< 0.1%
-9.043696831	1	< 0.1%
-9.04316549	1	< 0.1%
-9.042214435	1	< 0.1%
-9.041952054	1	< 0.1%

Value	Count	Frequency (%)
-1.940751613	1	< 0.1%
-1.940756598	1	< 0.1%
-1.940791492	2	< 0.1%
-1.940794261	1	< 0.1%
-1.940833587	1	< 0.1%
-1.940857958	2	< 0.1%
-1.940860727	1	< 0.1%
-1.940883438	1	< 0.1%
-1.940892854	1	< 0.1%
-1.940893408	1	< 0.1%

iErr
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2416685
Distinct (%)	88.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-5.481338672

Minimum	-17.86008046
Maximum	4.809064533
Zeros	0
Zeros (%)	0.0%
Negative	2721423
Negative (%)	> 99.9%
Memory size	20.8 MiB

Quantile statistics

Minimum	-17.86008046
5-th percentile	-7.833942927
Q1	-6.854766832
median	-5.230101275
Q3	-4.488836745
95-th percentile	-2.977489689
Maximum	4.809064533
Range	22.669145
Interquartile range (IQR)	2.365930086

Descriptive statistics

Standard deviation	1.510037138
Coefficient of variation (CV)	-0.2754869254
Kurtosis	-0.6308609877
Mean	-5.481338672
Median Absolute Deviation (MAD)	1.081586949
Skewness	0.03016363378
Sum	-14920357.34
Variance	2.280212158
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-5.088663374	7	< 0.1%
-6.506583516	6	< 0.1%
-4.874601967	6	< 0.1%
-6.601315506	6	< 0.1%
-6.574001445	6	< 0.1%
-5.726060894	6	< 0.1%
-6.464406288	6	< 0.1%
-5.132111378	6	< 0.1%
-6.578547213	6	< 0.1%
-5.263488568	6	< 0.1%
Other values (2416675)	2721967	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-17.86008046	1	< 0.1%
-9.70503716	1	< 0.1%
-9.641853965	1	< 0.1%
-9.407273691	1	< 0.1%
-9.090525573	1	< 0.1%
-9.079114747	1	< 0.1%
-9.070516568	1	< 0.1%
-9.066550638	1	< 0.1%
-9.065812104	1	< 0.1%
-9.064262026	1	< 0.1%

Value	Count	Frequency (%)
4.809064533	1	< 0.1%
4.372220121	1	< 0.1%
4.251874335	1	< 0.1%
4.0618168	1	< 0.1%
4.058777115	1	< 0.1%
3.846400042	1	< 0.1%
3.844672878	1	< 0.1%
3.800264198	1	< 0.1%
3.700192219	1	< 0.1%
3.599098754	1	< 0.1%

zErr
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2355495
Distinct (%)	86.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-4.197201727

Minimum	-11.04430682
Maximum	5.428461681
Zeros	0
Zeros (%)	0.0%
Negative	2714354
Negative (%)	99.7%
Memory size	20.8 MiB

Quantile statistics

Minimum	-11.04430682
5-th percentile	-6.741076826
Q1	-5.486915348
median	-3.939197105
Q3	-3.184987004
95-th percentile	-1.540930874
Maximum	5.428461681
Range	16.4727685
Interquartile range (IQR)	2.301928344

Descriptive statistics

Standard deviation	1.573221656
Coefficient of variation (CV)	-0.3748263148
Kurtosis	-0.3108389625
Mean	-4.197201727
Median Absolute Deviation (MAD)	1.025748282
Skewness	0.0048595915
Sum	-11424900.62
Variance	2.475026378
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-3.225655445	9	< 0.1%
-3.295949632	8	< 0.1%
-3.062972659	8	< 0.1%
-3.263126741	8	< 0.1%
-3.267678348	8	< 0.1%
-3.073907037	8	< 0.1%
-3.224167643	8	< 0.1%
-3.22527222	8	< 0.1%
-3.263944168	8	< 0.1%
-3.166662	7	< 0.1%
Other values (2355485)	2721948	> 99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-11.04430682	1	< 0.1%
-8.74056304	1	< 0.1%
-8.675703786	1	< 0.1%
-8.659347625	1	< 0.1%
-8.638934041	1	< 0.1%
-8.623772928	1	< 0.1%
-8.622905311	1	< 0.1%
-8.62179268	1	< 0.1%
-8.617825584	1	< 0.1%
-8.602027836	1	< 0.1%

Value	Count	Frequency (%)
5.428461681	1	< 0.1%
5.154627357	1	< 0.1%
4.83715257	1	< 0.1%
4.659680284	1	< 0.1%
4.535170223	1	< 0.1%
4.52112865	1	< 0.1%
4.516786102	1	< 0.1%
4.496352411	1	< 0.1%
4.480212119	1	< 0.1%
4.410316001	1	< 0.1%

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	u	g	r	i	z	uErr	gErr	rErr	iErr	zErr
0	4.626528	4.479334	4.442595	4.419593	4.421121	-0.355339	-3.336726	-3.676320	-3.601732	-2.054881
1	4.502965	4.457257	4.456083	4.441204	4.450291	-1.355431	-3.687659	-2.956998	-2.538448	-0.822430
2	4.710716	4.486403	4.436536	4.431192	4.452598	-1.429789	-3.167303	-3.649887	-3.269892	-1.010986
3	4.620863	4.451050	4.436583	4.435823	4.471525	-0.274045	-4.040311	-3.937535	-3.320107	-0.977932
4	4.650859	4.510959	4.473232	4.449842	4.466110	-0.552079	-2.900234	-3.169031	-3.157272	-1.057521
5	4.590488	4.514341	4.479465	4.462569	4.485609	-0.638633	-2.954404	-3.008676	-2.879989	-0.917506
6	4.595464	4.746502	4.331912	4.226999	4.397498	1.355257	-0.565750	-4.021652	-4.051302	-0.188940
7	4.446422	4.375726	4.337387	4.331816	4.336153	-2.851058	-4.968574	-5.292891	-4.964696	-3.101935
8	4.661150	4.457774	4.409656	4.403341	4.403371	-0.632070	-3.664285	-4.244816	-3.885261	-2.226197
9	4.587799	4.469868	4.439136	4.434172	4.432422	-0.861786	-3.688879	-3.702853	-3.295795	-1.719452

Last rows

	u	g	r	i	z	uErr	gErr	rErr	iErr	zErr
2722018	4.527239	4.482957	4.428479	4.400312	4.344791	-0.732971	-2.869584	-3.060388	-3.138966	-2.158918
2722019	4.440556	4.417676	4.387888	4.372629	4.353696	-2.992044	-4.598663	-4.621510	-4.415295	-3.147767
2722020	4.633763	4.532246	4.428964	4.344044	4.276367	1.520788	-0.775378	-2.303812	-3.334496	-2.704285
2722021	4.317052	4.293955	4.280261	4.282380	4.273097	-4.661460	-6.264825	-6.204331	-5.687643	-4.180041
2722022	4.327511	4.297402	4.293443	4.295464	4.328839	-4.160500	-6.102440	-5.669864	-5.200289	-2.618014
2722023	4.439152	4.446434	4.417884	4.417204	4.426794	-2.282216	-3.449858	-3.192773	-2.606672	-0.754991
2722024	4.401188	4.413862	4.425684	4.405132	4.390952	-3.287110	-4.154399	-3.488137	-3.296911	-1.689056
2722025	4.464462	4.446029	4.425365	4.419637	4.381432	-2.106479	-4.136353	-3.711797	-3.317333	-1.921612
2722026	4.410477	4.375687	4.362548	4.352096	4.359427	-3.544141	-5.336474	-5.141721	-4.889821	-3.045029
2722027	4.497682	4.410842	4.380036	4.365697	4.365682	-1.708628	-4.375056	-4.451421	-4.167061	-2.168564

Overview

Variables

Interactions

Correlations

Spearman's ρ

Pearson's r

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows